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Quick Answer. It takes 9 to 10 hours to cook a 3-pound beef top round roast in a Crock-Pot at the low setting. The roast only requires about 5 hours of cooking time at the high setting, but this tough cut of meat isn't recommended for cooking on the high setting. The faster cook time and higher temperature doesn't break down the tough meat fibers and leaves the roast tough.
Place pan in oven and cook the beef, uncovered, until the internal temperature of the meat is 135G (for medium-rare) to 150F (medium). Remove from oven even though the roast is not completely done at this point. Approximate roasting time for a three-pound roast will be 1 hour for medium-rare or 1:20 for medium.